Abstract
We give a sufficient condition for essential self-adjointness of symmetric operators associated with classical Dirichlet forms on Hilbert spaces. The condition implies a one-sided restriction on the derivatives for a suitable approximation of the drift coefficient β but does not involve L p or smoothness conditions on β.
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Albeverio, S., Kondratiev, J.G. & Röckner, M. An approximate criterium of essential self-adjointness of Dirichlet operators. Potential Anal 1, 307–317 (1992). https://doi.org/10.1007/BF00269513
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DOI: https://doi.org/10.1007/BF00269513